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We propose an adaptive coding approach to achieve linear-quadratic-Gaussian (LQG) control with near-minimum bitrate prefix-free feedback. Our approach combines a recent analysis of a quantizer design for minimum rate LQG control with work…

信息论 · 计算机科学 2023-04-04 Travis C. Cuvelier , Takashi Tanaka , Robert W. Heath

We consider the continuous-time Linear-Quadratic-Regulator (LQR) problem in terms of optimizing a real-valued matrix function over the set of feedback gains. The results developed are in parallel to those in Bu et al. [1] for discrete-time…

系统与控制 · 电气工程与系统科学 2020-06-17 Jingjing Bu , Afshin Mesbahi , Mehran Mesbahi

We study the problem of adaptive control in partially observable linear quadratic Gaussian control systems, where the model dynamics are unknown a priori. We propose LqgOpt, a novel reinforcement learning algorithm based on the principle of…

机器学习 · 计算机科学 2020-06-25 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

We present a data-driven method for solving the linear quadratic regulator problem for systems with multiplicative disturbances, the distribution of which is only known through sample estimates. We adopt a distributionally robust approach…

系统与控制 · 电气工程与系统科学 2020-05-27 Peter Coppens , Mathijs Schuurmans , Panagiotis Patrinos

This paper develops a controller synthesis algorithm for distributed LQG control problems under output feedback. We consider a system consisting of three interconnected linear subsystems with a delayed information sharing structure. While…

系统与控制 · 计算机科学 2016-11-15 Hamid Reza Feyzmahdavian , Assad Alam , Ather Gattami

The convergence of policy gradient algorithms hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of linear quadratic control.…

最优化与控制 · 数学 2023-11-02 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

This paper addresses the joint state estimation and control problems for unknown linear time-invariant systems subject to both process and measurement noise. The aim is to redesign the linear quadratic Gaussian (LQG) controller based solely…

系统与控制 · 电气工程与系统科学 2023-05-03 Wenjie Liu , Jian Sun , Gang Wang , Francesco Bullo , Jie Chen

A networked controlled system (NCS) in which the plant communicates to the controller over a channel with random delay loss is considered. The channel model is motivated by recent development of tree codes for NCS, which effectively…

系统与控制 · 计算机科学 2016-07-28 Mohammad Kazem Izadinasab , Amir Homayoun Bahari Sani , Farshad Lahouti , Babak Hassibi

We consider the problem of controlling a set of dynamically decoupled plants where the plants' subcontrollers communicate with each other according to a fixed and known network topology. We assume the communication to be instantaneous but…

系统与控制 · 电气工程与系统科学 2020-09-04 Mruganka Kashyap , Laurent Lessard

We propose a methodology for performing risk-averse quadratic regulation of partially observed Linear Time-Invariant (LTI) systems disturbed by process and output noise. To compensate against the induced variability due to both types of…

最优化与控制 · 数学 2022-04-20 Nikolas Koumpis , Anastasios Tsiamis , Dionysios Kalogerias

A linear-quadratic (LQ, for short) optimal control problem is considered for mean-field stochastic differential equations with constant coefficients in an infinite horizon. The stabilizability of the control system is studied followed by…

最优化与控制 · 数学 2012-08-28 Jianhui Huang , Xun Li , Jiongmin Yong

Direct policy search has achieved great empirical success in reinforcement learning. Many recent studies have revisited its theoretical foundation for continuous control, which reveals elegant nonconvex geometry in various benchmark…

最优化与控制 · 数学 2023-12-27 Yang Zheng , Chih-fan Pai , Yujie Tang

This paper examines mean field linear-quadratic-Gaussian (LQG) social optimum control with volatility-uncertain common noise. The diffusion terms in the dynamics of agents contain an unknown volatility process driven by a common noise. We…

最优化与控制 · 数学 2019-12-16 Jianhui Huang , Bing-Chang Wang , Jiongmin Yong

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

最优化与控制 · 数学 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

最优化与控制 · 数学 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

In this paper, we investigate a continuous-time linear quadratic control problem for systems with unknown matrices, where only input-output data are available. We propose an output-feedback learning framework based on a canonical nonminimal…

最优化与控制 · 数学 2026-05-19 Weijian Li , Bowen Yi , Panos J. Antsaklis , Hai Lin

In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main features of this paper are the presence of the control in the…

最优化与控制 · 数学 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

Optimal control theory is usually formulated as an indirect method requiring the solution of a two-point boundary value problem. Practically, the solution is obtained by iterative forward and backward propagation of quantum wavepackets.…

量子物理 · 物理学 2020-10-09 Alejandro R. Ramos Ramos , Oliver Kühn

This paper addresses the end-to-end sample complexity bound for learning the H2 optimal controller (the Linear Quadratic Gaussian (LQG) problem) with unknown dynamics, for potentially unstable Linear Time Invariant (LTI) systems. The robust…

系统与控制 · 电气工程与系统科学 2022-07-05 Yifei Zhang , Sourav Kumar Ukil , Ephraim Neimand , Serban Sabau , Myron E. Hohil

It is well-known that linear dynamical systems with Gaussian noise and quadratic cost (LQG) satisfy a separation principle. Finding the optimal controller amounts to solving separate dual problems; one for control and one for estimation.…

系统与控制 · 计算机科学 2013-09-10 Laurent Lessard , Ashutosh Nayyar